Based on the multiple-tuning mechanism， a multiple single-sided pounding tuned mass damper （MSS-PTMD） with distributed pounding mass and pounding energy dissipation devices is proposed. The proposed damper has a multiple-tuning function so as to cover a wider control frequency domain and has better damping performance. Meanwhile， the huge tuned mass of conventional SS-PTMD can separate into several small ones to improve the feasibility of the pounding-type tuned mass damper in practical engineering. To further study the characteristics of MSS-PTMD， the motion equations of a single degree of freedom structure coupling MSS-PTMD are established. The optimal parameters of MSS-PTMD are obtained based on H∞ optimization criteria. The control performance of SS-PTMD and a double single-sided pounding tuned mass damper （DSS-PTMD） is simulated and compared. Finally， the effectiveness of DSS-PTMD is verified through experiments. The results show that increasing the number of tuning masses can effectively improve the damping bandwidth and performance of the MSS-PTMD. In the tuning and ±5% detuning cases， the MSS-PTMD has better control performance than SS-PTMD.